Multiples of 10 involving negative exponents
I can write any integer in a range of forms.
Multiples of 10 involving negative exponents
I can write any integer in a range of forms.
Lesson details
Key learning points
- A positive exponent tells you how many identical values must be multiplied together.
- Dividing by 10^n is the same as multiplying by its reciprocal.
- A negative exponent tells you how many reciprocals of the base must be multiplied together.
- a^(−3) = 1/a^3
Common misconception
A negative exponent implies that the entire value is negative.
Refer back to the table showing the structure of how the negative exponents occur and highlight that none of the decimal values are negative.
Keywords
Exponential form - When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
Exit quiz
6 Questions
$${1}\over{10}$$ -
$$10^{-1}$$
$${1}\over{100}$$ -
$$10^{-2}$$
$${1}\over{1000}$$ -
$$10^{-3}$$
$${1}\over{10 000}$$ -
$$10^{-4}$$
$${1}\over{100 000}$$ -
$$10^{-5}$$
$${1}\over{1 000 000}$$ -
$$10^{-6}$$
$$0.002$$ -
$$2\times10^{-3}$$
$$0.00004$$ -
$$4\times10^{-5}$$
$$0.2$$ -
$$2\times10^{-1}$$
$$0.005$$ -
$$5\times10^{-3}$$
$$0.000005$$ -
$$5\times10^{-6}$$
$$0.0004$$ -
$$4\times10^{-4}$$